66. Which of the following formulas is used to determine the number of acres in a parcel of land?
Answer: D
The formula used to determine the number of acres in a parcel of land is square feet divided by 43,560.
To calculate the area of land in acres, the appropriate formula is to take the total square footage of the parcel and divide it by 43,560, which is the number of square feet in one acre.
A) length × width
This formula calculates the area of a rectangle but does not directly convert that area into acres. While it can provide the total square footage, it does not account for the conversion factor necessary to determine the total acres.
B) square feet divided by 640
Dividing square feet by 640 converts square footage into square miles, not acres. This formula misapplies the conversion factor, as 640 acres make up one square mile, rather than being the correct measure for acres.
C) square miles × 1,296
This formula is incorrect for determining acres, as it mistakenly attempts to convert square miles to acres using an incorrect factor. Each square mile is equivalent to 640 acres, not 1,296, making this option invalid.
D) square feet divided by 43,560
This option correctly identifies the formula for converting square feet into acres. Since one acre is defined as 43,560 square feet, this formula directly provides the number of acres in a given parcel of land.
Conclusion
The correct answer, D, is the only formula that accurately converts square footage into acres by utilizing the precise conversion factor of 43,560 square feet per acre. Options A, B, and C fail to provide valid methods for determining the area in acres, either misapplying the formula or using incorrect conversion factors.